Twist-rigid Coxeter groups

Pierre-Emmanuel Caprace; Piotr Przytycki

doi:10.2140/gt.2010.14.2243

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Home > Journals > Geom. Topol. > Volume 14 > Issue 4 > Article

2010 Twist-rigid Coxeter groups

Pierre-Emmanuel Caprace, Piotr Przytycki

Geom. Topol. 14(4): 2243-2275 (2010). DOI: 10.2140/gt.2010.14.2243

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Abstract

We prove that two angle-compatible Coxeter generating sets of a given finitely generated Coxeter group are conjugate provided one of them does not admit any elementary twist. This confirms a basic case of a general conjecture which describes a potential solution to the isomorphism problem for Coxeter groups.

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Pierre-Emmanuel Caprace. Piotr Przytycki. "Twist-rigid Coxeter groups." Geom. Topol. 14 (4) 2243 - 2275, 2010. https://doi.org/10.2140/gt.2010.14.2243